Title :
Quantum codes [[6, 2, 3]]p and [[7, 3, 3]]p (p ≥ 3) exist
Author_Institution :
Dept. of Math. Sci., Tsinghua Univ., Beijing, China
fDate :
8/1/2002 12:00:00 AM
Abstract :
We prove that nonbinary quantum stabilizer codes with parameters [[n, k, d]]p = [[6, 2, 3]]p and [[7, 3, 3]]p exist for all odd primes p by using graph machinery, given by Schlingemann and Werner(see Phys. Rev. A, vol.65, no.012308, 2001), with a little number theory and combinatorics.
Keywords :
codes; graph theory; number theory; optical computing; quantum computing; combinatorics; graph machinery; nonbinary quantum stabilizer codes; number theory; odd primes; Hamming weight; Information theory; Linear code; Physics; Quantum mechanics; Rain; Symmetric matrices;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.800469
